TSTP Solution File: NUM554+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM554+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n033.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan 8 15:21:46 EST 2018
% Result : Theorem 11.05s
% Output : CNFRefutation 11.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 18
% Syntax : Number of formulae : 185 ( 35 unt; 0 def)
% Number of atoms : 977 ( 57 equ)
% Maximal formula atoms : 54 ( 5 avg)
% Number of connectives : 1296 ( 504 ~; 622 |; 146 &)
% ( 7 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-3 aty)
% Number of variables : 219 ( 0 sgn 130 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpW46p8O/sel_theBenchmark.p_1',mEOfElem) ).
fof(5,axiom,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox2/tmp/tmpW46p8O/sel_theBenchmark.p_1',m__2270) ).
fof(9,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( equal(X3,sdtmndt0(X1,X2))
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& ~ equal(X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpW46p8O/sel_theBenchmark.p_1',mDefDiff) ).
fof(10,axiom,
( aSet0(xS)
& aSet0(xT)
& ~ equal(xk,sz00) ),
file('/export/starexec/sandbox2/tmp/tmpW46p8O/sel_theBenchmark.p_1',m__2202_02) ).
fof(12,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aSet0(X2) )
=> ( ~ aElementOf0(X1,X2)
=> equal(sdtmndt0(sdtpldt0(X2,X1),X1),X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpW46p8O/sel_theBenchmark.p_1',mDiffCons) ).
fof(15,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtmndt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpW46p8O/sel_theBenchmark.p_1',mFDiffSet) ).
fof(17,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpW46p8O/sel_theBenchmark.p_1',mDefSub) ).
fof(22,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( ( isFinite0(X1)
& aElementOf0(X2,X1) )
=> equal(szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))),sbrdtbr0(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpW46p8O/sel_theBenchmark.p_1',mCardDiff) ).
fof(26,axiom,
~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox2/tmp/tmpW46p8O/sel_theBenchmark.p_1',m__2338) ).
fof(41,axiom,
equal(xP,sdtpldt0(sdtmndt0(xQ,xy),xx)),
file('/export/starexec/sandbox2/tmp/tmpW46p8O/sel_theBenchmark.p_1',m__2357) ).
fof(45,axiom,
( aElement0(xy)
& aElementOf0(xy,xQ) ),
file('/export/starexec/sandbox2/tmp/tmpW46p8O/sel_theBenchmark.p_1',m__2304) ).
fof(46,conjecture,
aElementOf0(xP,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox2/tmp/tmpW46p8O/sel_theBenchmark.p_1',m__) ).
fof(51,axiom,
( aSet0(xQ)
& isFinite0(xQ)
& equal(sbrdtbr0(xQ),xk) ),
file('/export/starexec/sandbox2/tmp/tmpW46p8O/sel_theBenchmark.p_1',m__2291) ).
fof(52,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ! [X3] :
( equal(X3,slbdtsldtrb0(X1,X2))
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aSubsetOf0(X4,X1)
& equal(sbrdtbr0(X4),X2) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpW46p8O/sel_theBenchmark.p_1',mDefSel) ).
fof(58,axiom,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmpW46p8O/sel_theBenchmark.p_1',m__2202) ).
fof(59,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtpldt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpW46p8O/sel_theBenchmark.p_1',mFConsSet) ).
fof(60,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/tmp/tmpW46p8O/sel_theBenchmark.p_1',m__2256) ).
fof(64,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( equal(X3,sdtpldt0(X1,X2))
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& ( aElementOf0(X4,X1)
| equal(X4,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpW46p8O/sel_theBenchmark.p_1',mDefCons) ).
fof(72,negated_conjecture,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(assume_negation,[status(cth)],[46]) ).
fof(74,plain,
! [X1,X2] :
( ( aElement0(X1)
& aSet0(X2) )
=> ( ~ aElementOf0(X1,X2)
=> equal(sdtmndt0(sdtpldt0(X2,X1),X1),X2) ) ),
inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).
fof(76,plain,
~ aElementOf0(xx,xQ),
inference(fof_simplification,[status(thm)],[26,theory(equality)]) ).
fof(78,negated_conjecture,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(fof_simplification,[status(thm)],[72,theory(equality)]) ).
fof(88,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ aElementOf0(X2,X1)
| aElement0(X2) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(89,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4) ) ),
inference(variable_rename,[status(thm)],[88]) ).
fof(90,plain,
! [X3,X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4)
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[89]) ).
cnf(91,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[90]) ).
cnf(92,plain,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[5]) ).
fof(105,plain,
! [X1,X2] :
( ~ aSet0(X1)
| ~ aElement0(X2)
| ! [X3] :
( ( ~ equal(X3,sdtmndt0(X1,X2))
| ( aSet0(X3)
& ! [X4] :
( ( ~ aElementOf0(X4,X3)
| ( aElement0(X4)
& aElementOf0(X4,X1)
& ~ equal(X4,X2) ) )
& ( ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| equal(X4,X2)
| aElementOf0(X4,X3) ) ) ) )
& ( ~ aSet0(X3)
| ? [X4] :
( ( ~ aElementOf0(X4,X3)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| equal(X4,X2) )
& ( aElementOf0(X4,X3)
| ( aElement0(X4)
& aElementOf0(X4,X1)
& ~ equal(X4,X2) ) ) )
| equal(X3,sdtmndt0(X1,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(106,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElement0(X6)
| ! [X7] :
( ( ~ equal(X7,sdtmndt0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& aElementOf0(X8,X5)
& ~ equal(X8,X6) ) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| equal(X8,X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ? [X9] :
( ( ~ aElementOf0(X9,X7)
| ~ aElement0(X9)
| ~ aElementOf0(X9,X5)
| equal(X9,X6) )
& ( aElementOf0(X9,X7)
| ( aElement0(X9)
& aElementOf0(X9,X5)
& ~ equal(X9,X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) ) ),
inference(variable_rename,[status(thm)],[105]) ).
fof(107,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElement0(X6)
| ! [X7] :
( ( ~ equal(X7,sdtmndt0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& aElementOf0(X8,X5)
& ~ equal(X8,X6) ) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| equal(X8,X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aElement0(esk2_3(X5,X6,X7))
| ~ aElementOf0(esk2_3(X5,X6,X7),X5)
| equal(esk2_3(X5,X6,X7),X6) )
& ( aElementOf0(esk2_3(X5,X6,X7),X7)
| ( aElement0(esk2_3(X5,X6,X7))
& aElementOf0(esk2_3(X5,X6,X7),X5)
& ~ equal(esk2_3(X5,X6,X7),X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[106]) ).
fof(108,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& aElementOf0(X8,X5)
& ~ equal(X8,X6) ) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| equal(X8,X6)
| aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ equal(X7,sdtmndt0(X5,X6)) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aElement0(esk2_3(X5,X6,X7))
| ~ aElementOf0(esk2_3(X5,X6,X7),X5)
| equal(esk2_3(X5,X6,X7),X6) )
& ( aElementOf0(esk2_3(X5,X6,X7),X7)
| ( aElement0(esk2_3(X5,X6,X7))
& aElementOf0(esk2_3(X5,X6,X7),X5)
& ~ equal(esk2_3(X5,X6,X7),X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElement0(X6) ),
inference(shift_quantors,[status(thm)],[107]) ).
fof(109,plain,
! [X5,X6,X7,X8] :
( ( aElement0(X8)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,X5)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(X8,X6)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| equal(X8,X6)
| aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aSet0(X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aElement0(esk2_3(X5,X6,X7))
| ~ aElementOf0(esk2_3(X5,X6,X7),X5)
| equal(esk2_3(X5,X6,X7),X6)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk2_3(X5,X6,X7))
| aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk2_3(X5,X6,X7),X5)
| aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(esk2_3(X5,X6,X7),X6)
| aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[108]) ).
cnf(114,plain,
( aSet0(X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[109]) ).
cnf(117,plain,
( aElementOf0(X4,X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[109]) ).
cnf(121,plain,
aSet0(xS),
inference(split_conjunct,[status(thm)],[10]) ).
fof(131,plain,
! [X1,X2] :
( ~ aElement0(X1)
| ~ aSet0(X2)
| aElementOf0(X1,X2)
| equal(sdtmndt0(sdtpldt0(X2,X1),X1),X2) ),
inference(fof_nnf,[status(thm)],[74]) ).
fof(132,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aSet0(X4)
| aElementOf0(X3,X4)
| equal(sdtmndt0(sdtpldt0(X4,X3),X3),X4) ),
inference(variable_rename,[status(thm)],[131]) ).
cnf(133,plain,
( sdtmndt0(sdtpldt0(X1,X2),X2) = X1
| aElementOf0(X2,X1)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[132]) ).
fof(140,plain,
! [X1] :
( ~ aElement0(X1)
| ! [X2] :
( ~ aSet0(X2)
| ~ isFinite0(X2)
| isFinite0(sdtmndt0(X2,X1)) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(141,plain,
! [X3] :
( ~ aElement0(X3)
| ! [X4] :
( ~ aSet0(X4)
| ~ isFinite0(X4)
| isFinite0(sdtmndt0(X4,X3)) ) ),
inference(variable_rename,[status(thm)],[140]) ).
fof(142,plain,
! [X3,X4] :
( ~ aSet0(X4)
| ~ isFinite0(X4)
| isFinite0(sdtmndt0(X4,X3))
| ~ aElement0(X3) ),
inference(shift_quantors,[status(thm)],[141]) ).
cnf(143,plain,
( isFinite0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ isFinite0(X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[142]) ).
fof(148,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ( ~ aSubsetOf0(X2,X1)
| ( aSet0(X2)
& ! [X3] :
( ~ aElementOf0(X3,X2)
| aElementOf0(X3,X1) ) ) )
& ( ~ aSet0(X2)
| ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,X1) )
| aSubsetOf0(X2,X1) ) ) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(149,plain,
! [X4] :
( ~ aSet0(X4)
| ! [X5] :
( ( ~ aSubsetOf0(X5,X4)
| ( aSet0(X5)
& ! [X6] :
( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) ) ) )
& ( ~ aSet0(X5)
| ? [X7] :
( aElementOf0(X7,X5)
& ~ aElementOf0(X7,X4) )
| aSubsetOf0(X5,X4) ) ) ),
inference(variable_rename,[status(thm)],[148]) ).
fof(150,plain,
! [X4] :
( ~ aSet0(X4)
| ! [X5] :
( ( ~ aSubsetOf0(X5,X4)
| ( aSet0(X5)
& ! [X6] :
( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) ) ) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk4_2(X4,X5),X5)
& ~ aElementOf0(esk4_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) ) ),
inference(skolemize,[status(esa)],[149]) ).
fof(151,plain,
! [X4,X5,X6] :
( ( ( ( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) )
& aSet0(X5) )
| ~ aSubsetOf0(X5,X4) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk4_2(X4,X5),X5)
& ~ aElementOf0(esk4_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) )
| ~ aSet0(X4) ),
inference(shift_quantors,[status(thm)],[150]) ).
fof(152,plain,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aElementOf0(esk4_2(X4,X5),X5)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(esk4_2(X4,X5),X4)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) ) ),
inference(distribute,[status(thm)],[151]) ).
cnf(153,plain,
( aSubsetOf0(X2,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk4_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[152]) ).
cnf(154,plain,
( aSubsetOf0(X2,X1)
| aElementOf0(esk4_2(X1,X2),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[152]) ).
cnf(156,plain,
( aElementOf0(X3,X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[152]) ).
fof(173,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ isFinite0(X1)
| ~ aElementOf0(X2,X1)
| equal(szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))),sbrdtbr0(X1)) ) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(174,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ isFinite0(X3)
| ~ aElementOf0(X4,X3)
| equal(szszuzczcdt0(sbrdtbr0(sdtmndt0(X3,X4))),sbrdtbr0(X3)) ) ),
inference(variable_rename,[status(thm)],[173]) ).
fof(175,plain,
! [X3,X4] :
( ~ isFinite0(X3)
| ~ aElementOf0(X4,X3)
| equal(szszuzczcdt0(sbrdtbr0(sdtmndt0(X3,X4))),sbrdtbr0(X3))
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[174]) ).
cnf(176,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[175]) ).
cnf(187,plain,
~ aElementOf0(xx,xQ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(249,plain,
xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
inference(split_conjunct,[status(thm)],[41]) ).
cnf(272,plain,
aElementOf0(xy,xQ),
inference(split_conjunct,[status(thm)],[45]) ).
cnf(273,plain,
aElement0(xy),
inference(split_conjunct,[status(thm)],[45]) ).
cnf(274,negated_conjecture,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(287,plain,
sbrdtbr0(xQ) = xk,
inference(split_conjunct,[status(thm)],[51]) ).
cnf(288,plain,
isFinite0(xQ),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(289,plain,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[51]) ).
fof(290,plain,
! [X1,X2] :
( ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| ! [X3] :
( ( ~ equal(X3,slbdtsldtrb0(X1,X2))
| ( aSet0(X3)
& ! [X4] :
( ( ~ aElementOf0(X4,X3)
| ( aSubsetOf0(X4,X1)
& equal(sbrdtbr0(X4),X2) ) )
& ( ~ aSubsetOf0(X4,X1)
| ~ equal(sbrdtbr0(X4),X2)
| aElementOf0(X4,X3) ) ) ) )
& ( ~ aSet0(X3)
| ? [X4] :
( ( ~ aElementOf0(X4,X3)
| ~ aSubsetOf0(X4,X1)
| ~ equal(sbrdtbr0(X4),X2) )
& ( aElementOf0(X4,X3)
| ( aSubsetOf0(X4,X1)
& equal(sbrdtbr0(X4),X2) ) ) )
| equal(X3,slbdtsldtrb0(X1,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[52]) ).
fof(291,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0)
| ! [X7] :
( ( ~ equal(X7,slbdtsldtrb0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aSubsetOf0(X8,X5)
& equal(sbrdtbr0(X8),X6) ) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ? [X9] :
( ( ~ aElementOf0(X9,X7)
| ~ aSubsetOf0(X9,X5)
| ~ equal(sbrdtbr0(X9),X6) )
& ( aElementOf0(X9,X7)
| ( aSubsetOf0(X9,X5)
& equal(sbrdtbr0(X9),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) ) ),
inference(variable_rename,[status(thm)],[290]) ).
fof(292,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0)
| ! [X7] :
( ( ~ equal(X7,slbdtsldtrb0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aSubsetOf0(X8,X5)
& equal(sbrdtbr0(X8),X6) ) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk10_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk10_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk10_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk10_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[291]) ).
fof(293,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ aElementOf0(X8,X7)
| ( aSubsetOf0(X8,X5)
& equal(sbrdtbr0(X8),X6) ) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ equal(X7,slbdtsldtrb0(X5,X6)) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk10_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk10_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk10_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk10_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[292]) ).
fof(294,plain,
! [X5,X6,X7,X8] :
( ( aSubsetOf0(X8,X5)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( equal(sbrdtbr0(X8),X6)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( aSet0(X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( ~ aElementOf0(esk10_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk10_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( aSubsetOf0(esk10_3(X5,X6,X7),X5)
| aElementOf0(esk10_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6)
| aElementOf0(esk10_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ) ),
inference(distribute,[status(thm)],[293]) ).
cnf(299,plain,
( aElementOf0(X4,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X2) ),
inference(split_conjunct,[status(thm)],[294]) ).
cnf(301,plain,
( aSubsetOf0(X4,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[294]) ).
cnf(316,plain,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[58]) ).
fof(317,plain,
! [X1] :
( ~ aElement0(X1)
| ! [X2] :
( ~ aSet0(X2)
| ~ isFinite0(X2)
| isFinite0(sdtpldt0(X2,X1)) ) ),
inference(fof_nnf,[status(thm)],[59]) ).
fof(318,plain,
! [X3] :
( ~ aElement0(X3)
| ! [X4] :
( ~ aSet0(X4)
| ~ isFinite0(X4)
| isFinite0(sdtpldt0(X4,X3)) ) ),
inference(variable_rename,[status(thm)],[317]) ).
fof(319,plain,
! [X3,X4] :
( ~ aSet0(X4)
| ~ isFinite0(X4)
| isFinite0(sdtpldt0(X4,X3))
| ~ aElement0(X3) ),
inference(shift_quantors,[status(thm)],[318]) ).
cnf(320,plain,
( isFinite0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ isFinite0(X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[319]) ).
cnf(321,plain,
aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[60]) ).
fof(331,plain,
! [X1,X2] :
( ~ aSet0(X1)
| ~ aElement0(X2)
| ! [X3] :
( ( ~ equal(X3,sdtpldt0(X1,X2))
| ( aSet0(X3)
& ! [X4] :
( ( ~ aElementOf0(X4,X3)
| ( aElement0(X4)
& ( aElementOf0(X4,X1)
| equal(X4,X2) ) ) )
& ( ~ aElement0(X4)
| ( ~ aElementOf0(X4,X1)
& ~ equal(X4,X2) )
| aElementOf0(X4,X3) ) ) ) )
& ( ~ aSet0(X3)
| ? [X4] :
( ( ~ aElementOf0(X4,X3)
| ~ aElement0(X4)
| ( ~ aElementOf0(X4,X1)
& ~ equal(X4,X2) ) )
& ( aElementOf0(X4,X3)
| ( aElement0(X4)
& ( aElementOf0(X4,X1)
| equal(X4,X2) ) ) ) )
| equal(X3,sdtpldt0(X1,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[64]) ).
fof(332,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElement0(X6)
| ! [X7] :
( ( ~ equal(X7,sdtpldt0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& ( aElementOf0(X8,X5)
| equal(X8,X6) ) ) )
& ( ~ aElement0(X8)
| ( ~ aElementOf0(X8,X5)
& ~ equal(X8,X6) )
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ? [X9] :
( ( ~ aElementOf0(X9,X7)
| ~ aElement0(X9)
| ( ~ aElementOf0(X9,X5)
& ~ equal(X9,X6) ) )
& ( aElementOf0(X9,X7)
| ( aElement0(X9)
& ( aElementOf0(X9,X5)
| equal(X9,X6) ) ) ) )
| equal(X7,sdtpldt0(X5,X6)) ) ) ),
inference(variable_rename,[status(thm)],[331]) ).
fof(333,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElement0(X6)
| ! [X7] :
( ( ~ equal(X7,sdtpldt0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& ( aElementOf0(X8,X5)
| equal(X8,X6) ) ) )
& ( ~ aElement0(X8)
| ( ~ aElementOf0(X8,X5)
& ~ equal(X8,X6) )
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk11_3(X5,X6,X7),X7)
| ~ aElement0(esk11_3(X5,X6,X7))
| ( ~ aElementOf0(esk11_3(X5,X6,X7),X5)
& ~ equal(esk11_3(X5,X6,X7),X6) ) )
& ( aElementOf0(esk11_3(X5,X6,X7),X7)
| ( aElement0(esk11_3(X5,X6,X7))
& ( aElementOf0(esk11_3(X5,X6,X7),X5)
| equal(esk11_3(X5,X6,X7),X6) ) ) ) )
| equal(X7,sdtpldt0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[332]) ).
fof(334,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& ( aElementOf0(X8,X5)
| equal(X8,X6) ) ) )
& ( ~ aElement0(X8)
| ( ~ aElementOf0(X8,X5)
& ~ equal(X8,X6) )
| aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ equal(X7,sdtpldt0(X5,X6)) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk11_3(X5,X6,X7),X7)
| ~ aElement0(esk11_3(X5,X6,X7))
| ( ~ aElementOf0(esk11_3(X5,X6,X7),X5)
& ~ equal(esk11_3(X5,X6,X7),X6) ) )
& ( aElementOf0(esk11_3(X5,X6,X7),X7)
| ( aElement0(esk11_3(X5,X6,X7))
& ( aElementOf0(esk11_3(X5,X6,X7),X5)
| equal(esk11_3(X5,X6,X7),X6) ) ) ) )
| equal(X7,sdtpldt0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElement0(X6) ),
inference(shift_quantors,[status(thm)],[333]) ).
fof(335,plain,
! [X5,X6,X7,X8] :
( ( aElement0(X8)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,X5)
| equal(X8,X6)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(X8,X5)
| ~ aElement0(X8)
| aElementOf0(X8,X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(X8,X6)
| ~ aElement0(X8)
| aElementOf0(X8,X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aSet0(X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk11_3(X5,X6,X7),X5)
| ~ aElement0(esk11_3(X5,X6,X7))
| ~ aElementOf0(esk11_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(esk11_3(X5,X6,X7),X6)
| ~ aElement0(esk11_3(X5,X6,X7))
| ~ aElementOf0(esk11_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk11_3(X5,X6,X7))
| aElementOf0(esk11_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk11_3(X5,X6,X7),X5)
| equal(esk11_3(X5,X6,X7),X6)
| aElementOf0(esk11_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[334]) ).
cnf(340,plain,
( aSet0(X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[335]) ).
cnf(341,plain,
( aElementOf0(X4,X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElement0(X4)
| X4 != X1 ),
inference(split_conjunct,[status(thm)],[335]) ).
cnf(343,plain,
( X4 = X1
| aElementOf0(X4,X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[335]) ).
cnf(392,plain,
( aElement0(xx)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[91,321,theory(equality)]) ).
cnf(399,plain,
( aElement0(xx)
| $false ),
inference(rw,[status(thm)],[392,121,theory(equality)]) ).
cnf(400,plain,
aElement0(xx),
inference(cn,[status(thm)],[399,theory(equality)]) ).
cnf(479,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[114,theory(equality)]) ).
cnf(480,plain,
( aSet0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[340,theory(equality)]) ).
cnf(487,plain,
( isFinite0(xP)
| ~ aElement0(xx)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(spm,[status(thm)],[320,249,theory(equality)]) ).
cnf(529,plain,
( aElementOf0(X1,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aSet0(X2) ),
inference(er,[status(thm)],[117,theory(equality)]) ).
cnf(567,plain,
( aElementOf0(X1,X2)
| sdtpldt0(X3,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[341,theory(equality)]) ).
cnf(568,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,slbdtsldtrb0(X2,X3))
| ~ aSet0(X2) ),
inference(er,[status(thm)],[301,theory(equality)]) ).
cnf(611,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| aElementOf0(xx,sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(spm,[status(thm)],[133,249,theory(equality)]) ).
cnf(620,plain,
( X1 = X2
| aElementOf0(X2,X3)
| ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt0(X3,X1))
| ~ aSet0(X3) ),
inference(er,[status(thm)],[343,theory(equality)]) ).
cnf(624,plain,
( aElementOf0(X1,slbdtsldtrb0(X2,X3))
| sbrdtbr0(X1) != X3
| ~ aElementOf0(X3,szNzAzT0)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[299,theory(equality)]) ).
cnf(1091,plain,
( aSet0(xP)
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(spm,[status(thm)],[480,249,theory(equality)]) ).
cnf(1093,plain,
( aSet0(xP)
| $false
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(rw,[status(thm)],[1091,400,theory(equality)]) ).
cnf(1094,plain,
( aSet0(xP)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(cn,[status(thm)],[1093,theory(equality)]) ).
cnf(1096,plain,
( aSet0(xP)
| ~ aElement0(xy)
| ~ aSet0(xQ) ),
inference(spm,[status(thm)],[1094,479,theory(equality)]) ).
cnf(1097,plain,
( aSet0(xP)
| $false
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[1096,273,theory(equality)]) ).
cnf(1098,plain,
( aSet0(xP)
| $false
| $false ),
inference(rw,[status(thm)],[1097,289,theory(equality)]) ).
cnf(1099,plain,
aSet0(xP),
inference(cn,[status(thm)],[1098,theory(equality)]) ).
cnf(1553,plain,
( aSubsetOf0(xQ,xS)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[568,92,theory(equality)]) ).
cnf(1561,plain,
( aSubsetOf0(xQ,xS)
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[1553,316,theory(equality)]) ).
cnf(1562,plain,
( aSubsetOf0(xQ,xS)
| $false
| $false ),
inference(rw,[status(thm)],[1561,121,theory(equality)]) ).
cnf(1563,plain,
aSubsetOf0(xQ,xS),
inference(cn,[status(thm)],[1562,theory(equality)]) ).
cnf(1569,plain,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,xQ)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[156,1563,theory(equality)]) ).
cnf(1578,plain,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,xQ)
| $false ),
inference(rw,[status(thm)],[1569,121,theory(equality)]) ).
cnf(1579,plain,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,xQ) ),
inference(cn,[status(thm)],[1578,theory(equality)]) ).
cnf(1592,plain,
( aSubsetOf0(X1,xS)
| ~ aSet0(X1)
| ~ aSet0(xS)
| ~ aElementOf0(esk4_2(xS,X1),xQ) ),
inference(spm,[status(thm)],[153,1579,theory(equality)]) ).
cnf(1602,plain,
( aSubsetOf0(X1,xS)
| ~ aSet0(X1)
| $false
| ~ aElementOf0(esk4_2(xS,X1),xQ) ),
inference(rw,[status(thm)],[1592,121,theory(equality)]) ).
cnf(1603,plain,
( aSubsetOf0(X1,xS)
| ~ aSet0(X1)
| ~ aElementOf0(esk4_2(xS,X1),xQ) ),
inference(cn,[status(thm)],[1602,theory(equality)]) ).
cnf(1690,plain,
( isFinite0(xP)
| $false
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(rw,[status(thm)],[487,400,theory(equality)]) ).
cnf(1691,plain,
( isFinite0(xP)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(cn,[status(thm)],[1690,theory(equality)]) ).
cnf(1692,plain,
( isFinite0(xP)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ aElement0(xy)
| ~ isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(spm,[status(thm)],[1691,143,theory(equality)]) ).
cnf(1694,plain,
( isFinite0(xP)
| ~ aSet0(sdtmndt0(xQ,xy))
| $false
| ~ isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[1692,273,theory(equality)]) ).
cnf(1695,plain,
( isFinite0(xP)
| ~ aSet0(sdtmndt0(xQ,xy))
| $false
| $false
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[1694,288,theory(equality)]) ).
cnf(1696,plain,
( isFinite0(xP)
| ~ aSet0(sdtmndt0(xQ,xy))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1695,289,theory(equality)]) ).
cnf(1697,plain,
( isFinite0(xP)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(cn,[status(thm)],[1696,theory(equality)]) ).
cnf(1724,plain,
( isFinite0(xP)
| ~ aElement0(xy)
| ~ aSet0(xQ) ),
inference(spm,[status(thm)],[1697,479,theory(equality)]) ).
cnf(1726,plain,
( isFinite0(xP)
| $false
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[1724,273,theory(equality)]) ).
cnf(1727,plain,
( isFinite0(xP)
| $false
| $false ),
inference(rw,[status(thm)],[1726,289,theory(equality)]) ).
cnf(1728,plain,
isFinite0(xP),
inference(cn,[status(thm)],[1727,theory(equality)]) ).
cnf(4204,plain,
( aElementOf0(X1,sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[567,theory(equality)]) ).
cnf(4291,plain,
( aElementOf0(xx,xP)
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(spm,[status(thm)],[4204,249,theory(equality)]) ).
cnf(4302,plain,
( aElementOf0(xx,xP)
| $false
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(rw,[status(thm)],[4291,400,theory(equality)]) ).
cnf(4303,plain,
( aElementOf0(xx,xP)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(cn,[status(thm)],[4302,theory(equality)]) ).
cnf(4311,plain,
( aElementOf0(xx,xP)
| ~ aElement0(xy)
| ~ aSet0(xQ) ),
inference(spm,[status(thm)],[4303,479,theory(equality)]) ).
cnf(4313,plain,
( aElementOf0(xx,xP)
| $false
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[4311,273,theory(equality)]) ).
cnf(4314,plain,
( aElementOf0(xx,xP)
| $false
| $false ),
inference(rw,[status(thm)],[4313,289,theory(equality)]) ).
cnf(4315,plain,
aElementOf0(xx,xP),
inference(cn,[status(thm)],[4314,theory(equality)]) ).
cnf(5735,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| aElementOf0(xx,sdtmndt0(xQ,xy))
| $false
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(rw,[status(thm)],[611,400,theory(equality)]) ).
cnf(5736,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| aElementOf0(xx,sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(cn,[status(thm)],[5735,theory(equality)]) ).
cnf(5738,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| aElementOf0(xx,sdtmndt0(xQ,xy))
| ~ aElement0(xy)
| ~ aSet0(xQ) ),
inference(spm,[status(thm)],[5736,479,theory(equality)]) ).
cnf(5740,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| aElementOf0(xx,sdtmndt0(xQ,xy))
| $false
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[5738,273,theory(equality)]) ).
cnf(5741,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| aElementOf0(xx,sdtmndt0(xQ,xy))
| $false
| $false ),
inference(rw,[status(thm)],[5740,289,theory(equality)]) ).
cnf(5742,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| aElementOf0(xx,sdtmndt0(xQ,xy)) ),
inference(cn,[status(thm)],[5741,theory(equality)]) ).
cnf(5774,plain,
( aElementOf0(xx,xQ)
| sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| ~ aElement0(xy)
| ~ aSet0(xQ) ),
inference(spm,[status(thm)],[529,5742,theory(equality)]) ).
cnf(5783,plain,
( aElementOf0(xx,xQ)
| sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| $false
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[5774,273,theory(equality)]) ).
cnf(5784,plain,
( aElementOf0(xx,xQ)
| sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| $false
| $false ),
inference(rw,[status(thm)],[5783,289,theory(equality)]) ).
cnf(5785,plain,
( aElementOf0(xx,xQ)
| sdtmndt0(xP,xx) = sdtmndt0(xQ,xy) ),
inference(cn,[status(thm)],[5784,theory(equality)]) ).
cnf(5786,plain,
sdtmndt0(xP,xx) = sdtmndt0(xQ,xy),
inference(sr,[status(thm)],[5785,187,theory(equality)]) ).
cnf(5795,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(xP)
| ~ isFinite0(xP)
| ~ aElementOf0(xx,xP)
| ~ aSet0(xP) ),
inference(spm,[status(thm)],[176,5786,theory(equality)]) ).
cnf(5797,plain,
( aSet0(sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| ~ aSet0(xP) ),
inference(spm,[status(thm)],[479,5786,theory(equality)]) ).
cnf(5831,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(xP)
| $false
| ~ aElementOf0(xx,xP)
| ~ aSet0(xP) ),
inference(rw,[status(thm)],[5795,1728,theory(equality)]) ).
cnf(5832,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(xP)
| $false
| $false
| ~ aSet0(xP) ),
inference(rw,[status(thm)],[5831,4315,theory(equality)]) ).
cnf(5833,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(xP)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[5832,1099,theory(equality)]) ).
cnf(5834,plain,
szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(xP),
inference(cn,[status(thm)],[5833,theory(equality)]) ).
cnf(5838,plain,
( aSet0(sdtmndt0(xQ,xy))
| $false
| ~ aSet0(xP) ),
inference(rw,[status(thm)],[5797,400,theory(equality)]) ).
cnf(5839,plain,
( aSet0(sdtmndt0(xQ,xy))
| $false
| $false ),
inference(rw,[status(thm)],[5838,1099,theory(equality)]) ).
cnf(5840,plain,
aSet0(sdtmndt0(xQ,xy)),
inference(cn,[status(thm)],[5839,theory(equality)]) ).
cnf(5966,plain,
( sbrdtbr0(xP) = sbrdtbr0(xQ)
| ~ isFinite0(xQ)
| ~ aElementOf0(xy,xQ)
| ~ aSet0(xQ) ),
inference(spm,[status(thm)],[176,5834,theory(equality)]) ).
cnf(5985,plain,
( sbrdtbr0(xP) = xk
| ~ isFinite0(xQ)
| ~ aElementOf0(xy,xQ)
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[5966,287,theory(equality)]) ).
cnf(5986,plain,
( sbrdtbr0(xP) = xk
| $false
| ~ aElementOf0(xy,xQ)
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[5985,288,theory(equality)]) ).
cnf(5987,plain,
( sbrdtbr0(xP) = xk
| $false
| $false
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[5986,272,theory(equality)]) ).
cnf(5988,plain,
( sbrdtbr0(xP) = xk
| $false
| $false
| $false ),
inference(rw,[status(thm)],[5987,289,theory(equality)]) ).
cnf(5989,plain,
sbrdtbr0(xP) = xk,
inference(cn,[status(thm)],[5988,theory(equality)]) ).
cnf(6196,plain,
( xx = X1
| aElementOf0(X1,sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| ~ aElementOf0(X1,xP)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(spm,[status(thm)],[620,249,theory(equality)]) ).
cnf(6210,plain,
( xx = X1
| aElementOf0(X1,sdtmndt0(xQ,xy))
| $false
| ~ aElementOf0(X1,xP)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(rw,[status(thm)],[6196,400,theory(equality)]) ).
cnf(6211,plain,
( xx = X1
| aElementOf0(X1,sdtmndt0(xQ,xy))
| $false
| ~ aElementOf0(X1,xP)
| $false ),
inference(rw,[status(thm)],[6210,5840,theory(equality)]) ).
cnf(6212,plain,
( xx = X1
| aElementOf0(X1,sdtmndt0(xQ,xy))
| ~ aElementOf0(X1,xP) ),
inference(cn,[status(thm)],[6211,theory(equality)]) ).
cnf(6532,negated_conjecture,
( sbrdtbr0(xP) != xk
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSubsetOf0(xP,xS)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[274,624,theory(equality)]) ).
cnf(6554,negated_conjecture,
( $false
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSubsetOf0(xP,xS)
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[6532,5989,theory(equality)]) ).
cnf(6555,negated_conjecture,
( $false
| $false
| ~ aSubsetOf0(xP,xS)
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[6554,316,theory(equality)]) ).
cnf(6556,negated_conjecture,
( $false
| $false
| ~ aSubsetOf0(xP,xS)
| $false ),
inference(rw,[status(thm)],[6555,121,theory(equality)]) ).
cnf(6557,negated_conjecture,
~ aSubsetOf0(xP,xS),
inference(cn,[status(thm)],[6556,theory(equality)]) ).
cnf(6941,plain,
( aElementOf0(X1,xQ)
| xx = X1
| ~ aElement0(xy)
| ~ aSet0(xQ)
| ~ aElementOf0(X1,xP) ),
inference(spm,[status(thm)],[529,6212,theory(equality)]) ).
cnf(6969,plain,
( aElementOf0(X1,xQ)
| xx = X1
| $false
| ~ aSet0(xQ)
| ~ aElementOf0(X1,xP) ),
inference(rw,[status(thm)],[6941,273,theory(equality)]) ).
cnf(6970,plain,
( aElementOf0(X1,xQ)
| xx = X1
| $false
| $false
| ~ aElementOf0(X1,xP) ),
inference(rw,[status(thm)],[6969,289,theory(equality)]) ).
cnf(6971,plain,
( aElementOf0(X1,xQ)
| xx = X1
| ~ aElementOf0(X1,xP) ),
inference(cn,[status(thm)],[6970,theory(equality)]) ).
cnf(7025,plain,
( xx = esk4_2(X1,xP)
| aElementOf0(esk4_2(X1,xP),xQ)
| aSubsetOf0(xP,X1)
| ~ aSet0(xP)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[6971,154,theory(equality)]) ).
cnf(7043,plain,
( xx = esk4_2(X1,xP)
| aElementOf0(esk4_2(X1,xP),xQ)
| aSubsetOf0(xP,X1)
| $false
| ~ aSet0(X1) ),
inference(rw,[status(thm)],[7025,1099,theory(equality)]) ).
cnf(7044,plain,
( xx = esk4_2(X1,xP)
| aElementOf0(esk4_2(X1,xP),xQ)
| aSubsetOf0(xP,X1)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[7043,theory(equality)]) ).
cnf(244135,plain,
( aSubsetOf0(xP,xS)
| esk4_2(xS,xP) = xx
| ~ aSet0(xP)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[1603,7044,theory(equality)]) ).
cnf(244165,plain,
( aSubsetOf0(xP,xS)
| esk4_2(xS,xP) = xx
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[244135,1099,theory(equality)]) ).
cnf(244166,plain,
( aSubsetOf0(xP,xS)
| esk4_2(xS,xP) = xx
| $false
| $false ),
inference(rw,[status(thm)],[244165,121,theory(equality)]) ).
cnf(244167,plain,
( aSubsetOf0(xP,xS)
| esk4_2(xS,xP) = xx ),
inference(cn,[status(thm)],[244166,theory(equality)]) ).
cnf(244168,plain,
esk4_2(xS,xP) = xx,
inference(sr,[status(thm)],[244167,6557,theory(equality)]) ).
cnf(244195,plain,
( aSubsetOf0(xP,xS)
| ~ aElementOf0(xx,xS)
| ~ aSet0(xP)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[153,244168,theory(equality)]) ).
cnf(244223,plain,
( aSubsetOf0(xP,xS)
| $false
| ~ aSet0(xP)
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[244195,321,theory(equality)]) ).
cnf(244224,plain,
( aSubsetOf0(xP,xS)
| $false
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[244223,1099,theory(equality)]) ).
cnf(244225,plain,
( aSubsetOf0(xP,xS)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[244224,121,theory(equality)]) ).
cnf(244226,plain,
aSubsetOf0(xP,xS),
inference(cn,[status(thm)],[244225,theory(equality)]) ).
cnf(244227,plain,
$false,
inference(sr,[status(thm)],[244226,6557,theory(equality)]) ).
cnf(244228,plain,
$false,
244227,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM554+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n033.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.625MB
% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 5 09:56:30 CST 2018
% 0.03/0.23 % CPUTime :
% 0.07/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.27 --creating new selector for []
% 11.05/11.53 -running prover on /export/starexec/sandbox2/tmp/tmpW46p8O/sel_theBenchmark.p_1 with time limit 29
% 11.05/11.53 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpW46p8O/sel_theBenchmark.p_1']
% 11.05/11.53 -prover status Theorem
% 11.05/11.53 Problem theBenchmark.p solved in phase 0.
% 11.05/11.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.05/11.53 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.05/11.53 Solved 1 out of 1.
% 11.05/11.53 # Problem is unsatisfiable (or provable), constructing proof object
% 11.05/11.53 # SZS status Theorem
% 11.05/11.53 # SZS output start CNFRefutation.
% See solution above
% 11.05/11.53 # SZS output end CNFRefutation
%------------------------------------------------------------------------------